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A professor has a class with 19 students. Each student will receive a grade of A, B, C, D, or F. 1) In how many ways might the professor assign a grade of A, B, C, D, or F, to each of the 19 students in the class? 2) The professor's university is compiling statistics on the grade distributions and requests the grade distribution (i.e. the number of students in each grade category) from this class. How many grade distributions are possible for a class of 19 students? 3) How many grade distributions are possible for a class of 19 students if the sets of A-students, B-students, C-students, D-students, and F-students form a partition of the class?

A professor has a class with 19 students. Each student will receive a grade of A, B, C, D, or F. 1) In how many ways might the professor assign a grade of A, B, C, D, or F, to each of the 19 students in the class? 2) The professor's university is compiling statistics on the grade distributions and requests the grade distribution (i.e. the number of students in each grade category) from this class. How many grade distributions are possible for a class of 19 students? 3) How many grade distributions are possible for a class of 19 students if the sets of A-students, B-students, C-students, D-students, and F-students form a partition of the class?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.4: Expected Value
Problem 22E
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Counting: Permutations and Combinations

A professor has a class with 19 students. Each student will receive a grade of A, B, C, D, or F.

1) In how many ways might the professor assign a grade of A, B, C, D, or F, to each of the 19 students in the class?

2) The professor's university is compiling statistics on the grade distributions and requests the grade distribution (i.e. the number of students in each grade category) from this class. How many grade distributions are possible for a class of 19 students?

3) How many grade distributions are possible for a class of 19 students if the sets of A-students, B-students, C-students, D-students, and F-students form a partition of the class?

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